Question

The number of triangles that can be drawn with the measure of each angle less than 60°, is __________.

Answer 1

Let the three angles of the triangle be x, y and z.

It is given that,

x < 60º, y < 60º and z < 60º

Now,

x + y + z < 60º + 60º + 60º

⇒ x + y + z < 180º

Or Sum of the angles of the triangle < 180º

This is not possible as the sum of the angles of a triangle is always equal to 180º.

Thus, no triangle can be drawn with the measure of each angle less than 60°.

The number of triangles that can be drawn with the measure of each angle less than 60°, is ____0____.